Find x such thatX= 3mod4X= 5mod17X= 2mod19There will be unique solution for x2 points47315319515
Question
Find x such thatX= 3mod4X= 5mod17X= 2mod19There will be unique solution for x2 points47315319515
Solution
To find the value of x that satisfies all three equations, we can use the Chinese Remainder Theorem. Here are the steps:
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First, we need to find the product of the moduli: N = 4 * 17 * 19 = 1292.
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Next, we find the individual Ni values, which are N divided by each of the moduli. So, N1 = 1292 / 4 = 323, N2 = 1292 / 17 = 76, and N3 = 1292 / 19 = 68.
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Now, we need to find the multiplicative inverse of each Ni modulo the corresponding modulus. We'll denote these as Mi. So, M1 = 323 mod 4, M2 =
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